The number 42242
42242 is a composite number with 4 divisors. Its prime factorisation is 2 × 21121. Divisors (4): 1, 2, 21121, 42242.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42242: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 21121, the product of two primes.
- 2
42242 is composite. Its prime factorisation is
- 3
The divisors add up to 63366; without 42242 itself that is 21124, so 42242 is deficient (21124 is less than 42242). Euler's totient φ(42242) = 21120 numbers up to 42242 share no factor with it.
- 4
The digits of 42242 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 106 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42242 = 2 \times 21121 \]
42242 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 63366 |
| Euler totient φ(n) | 21120 |
| Square | 1784386564 |
| Cube | 75376057236488 |
| Square root | 205.528587 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 106 |
| Scientific notation | 4.2242 × |
42242 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand two hundred and forty-two |
| Binary (base 2) | 1010010100000010 |
| Octal (base 8) | 122402 |
| Hexadecimal (base 16) | A502 |
| Base 3 | 2010221112 |
| As time | 42242 seconds = 11 h 44 min 2 s |
Is 42242 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42242 ÷ 2 = 21121) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42242 a prime number?
No. 42242 = 2 × 21121, so it is divisible by 2.
What are the factors of 42242?
1, 2, 21121, 42242.
What is 42242 in binary?
1010010100000010 (hexadecimal A502, octal 122402).
What is the square root of 42242?
About 205.5286.
Is 42242 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 42242?
42242 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 21121, the product of two primes.